Multi-Agent Trustworthy Consensus under Random Dynamic Attacks

Fuente: arXiv
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Autori principali: Akgün, Orhan Eren, Aydın, Sarper, Gil, Stephanie, Nedić, Angelia
Natura: Preprint
Pubblicazione: 2025
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author Akgün, Orhan Eren
Aydın, Sarper
Gil, Stephanie
Nedić, Angelia
author_facet Akgün, Orhan Eren
Aydın, Sarper
Gil, Stephanie
Nedić, Angelia
contents In this work, we study the consensus problem in which legitimate agents send their values over an undirected communication network in the presence of an unknown subset of malicious or faulty agents. In contrast to former works, we generalize and characterize the properties of consensus dynamics with dependent sequences of malicious transmissions with dynamic (time-varying) rates, based on not necessarily independent trust observations. We consider a detection algorithm utilizing stochastic trust observations available to legitimate agents. Under these conditions, legitimate agents almost surely classify their neighbors and form their trusted neighborhoods correctly with decaying misclassification probabilities. We further prove that the consensus process converges almost surely despite the existence of malicious agents. For a given value of failure probability, we characterize the deviation from the nominal consensus value ideally occurring when there are no malicious agents in the system. We also examine the convergence rate of the process in finite time. Numerical simulations show the convergence among agents and indicate the deviation under different attack scenarios.
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id arxiv_https___arxiv_org_abs_2504_07189
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multi-Agent Trustworthy Consensus under Random Dynamic Attacks
Akgün, Orhan Eren
Aydın, Sarper
Gil, Stephanie
Nedić, Angelia
Systems and Control
In this work, we study the consensus problem in which legitimate agents send their values over an undirected communication network in the presence of an unknown subset of malicious or faulty agents. In contrast to former works, we generalize and characterize the properties of consensus dynamics with dependent sequences of malicious transmissions with dynamic (time-varying) rates, based on not necessarily independent trust observations. We consider a detection algorithm utilizing stochastic trust observations available to legitimate agents. Under these conditions, legitimate agents almost surely classify their neighbors and form their trusted neighborhoods correctly with decaying misclassification probabilities. We further prove that the consensus process converges almost surely despite the existence of malicious agents. For a given value of failure probability, we characterize the deviation from the nominal consensus value ideally occurring when there are no malicious agents in the system. We also examine the convergence rate of the process in finite time. Numerical simulations show the convergence among agents and indicate the deviation under different attack scenarios.
title Multi-Agent Trustworthy Consensus under Random Dynamic Attacks
topic Systems and Control
url https://arxiv.org/abs/2504.07189